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Finding the Fourth Proportional to 289,915.70, 400,087.02 and 160,856.60

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Solution

The fourth proportional to 289,915.70, 400,087.02 and 160,856.60 is: 221,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,915.70 : 400,087.02 = 160,856.60 : x
  2. Step 2: Convert to fraction form
    289,915.70/400,087.02 = 160,856.60/x
  3. Step 3: Cross multiply
    289,915.70x = 400,087.02 × 160,856.60
  4. Step 4: Simplify right side
    289,915.70x = 64,356,637,741.33
  5. Step 5: Solve for x
    x = 64,356,637,741.33/289,915.70
  6. Step 6: Final answer
    x = 221,983.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.